An Introduction to Lorentz Surfaces

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Walter de Gruyter, 1996 - Mathematics - 213 pages

The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, including several important classics.

The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers interested in a thorough study of the subject.

Editorial Board

Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil
Walter D. Neumann, Columbia University, New York, USA
Markus J. Pflaum, University of Colorado, Boulder, USA
Dierk Schleicher, Jacobs University, Bremen, Germany
Katrin Wendland, University of Freiburg, Germany

Honorary Editor

Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia

Titles in planning include

Yuri A. Bahturin, Identical Relations in Lie Algebras (2019)
Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019)
Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019)
Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021)
Ioannis Diamantis, Bostjan Gabrovsek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)

 

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Contents

Introduction
1
Chapter 2
19
Chapter 3
36
Kulkarnis conformal boundary
54
Chapter 5
84
Chapter 6
119
Chapter 7
139
Bibliography
201
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Page 201 - Theory of Minimal Surfaces and a counterexample to the Bernstein conjecture in high dimensions, Courant Institute Lecture Notes, 1970. [5] E. Calabi, "Examples of Bernstein problems for some nonlinear equations,
Page 203 - Are harmonically immersed surfaces at all like minimally immersed surfaces? Seminar on Minimal Submanifolds (E. Bombieri, ed.), pp.
Page 201 - SY Cheng and ST Yau, Maximal spacelike hypersurfaces in the Lorentz-Minkowski spaces, Ann. of Math. (2) 104 (1976). 407-419.
Page 203 - Complete surfaces in E3 with constant mean curvature, Comment. Math. Helv. 41 (1966/67), 313-318. MR 35 #2213. Nomizu, K. and Smith, B. 1. A formula of Simons' type and hypersurfaces with constant mean curvature, J.

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